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40643148 = 22372132409
BaseRepresentation
bin1001101100001…
…0101001001100
32211110212220210
42123002221030
540401040043
64011042420
71002314100
oct233025114
984425823
1040643148
1120a3a887
1211740410
138560500
14557d900
15387c633
hex26c2a4c

40643148 has 108 divisors (see below), whose sum is σ = 119747880. Its totient is φ = 10692864.

The previous prime is 40643137. The next prime is 40643171. The reversal of 40643148 is 84134604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99168 + ... + 99576.

Almost surely, 240643148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40643148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59873940).

40643148 is an abundant number, since it is smaller than the sum of its proper divisors (79104732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40643148 is a wasteful number, since it uses less digits than its factorization.

40643148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 40643148 is about 6375.1978792819. The cubic root of 40643148 is about 343.8183983784.

The spelling of 40643148 in words is "forty million, six hundred forty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 169 182 196 273 294 338 364 409 507 546 588 637 676 818 1014 1092 1183 1227 1274 1636 1911 2028 2366 2454 2548 2863 3549 3822 4732 4908 5317 5726 7098 7644 8281 8589 10634 11452 14196 15951 16562 17178 20041 21268 24843 31902 33124 34356 37219 40082 49686 60123 63804 69121 74438 80164 99372 111657 120246 138242 148876 207363 223314 240492 260533 276484 414726 446628 483847 521066 781599 829452 967694 1042132 1451541 1563198 1935388 2903082 3126396 3386929 5806164 6773858 10160787 13547716 20321574 40643148